Sequences
Algebra "Proofs"
Points, Lines, Planes
Segment Addition
Distance between points
Midpoint and Endpoint
100
Write the first 4 terms:
an = an-1 + 3
a0 = 5
5, 8, 11, 14
100
3x + 6 = 18
3x = 12
What property was used here?
Subtraction POE
100
Where do lines i and j intersect?
Point C
100
What is the length of AC?
6
100
Find the distance between the points
square root of 13 or about 3.6
100
Find the midpoint of a line segment with endpoints (1, 3) and (5, 7)
(3, 5)
200
Write the first 4 terms:
an = 2an-1
a0 = 3
3, 6, 12, 24
200
6x = 24
x = 4
What property was used here?
Division POE
200
Give another name for line i.
CD or DC (with notation)
200
What is the length of segment AC?
14 cm
200
Find the distance
square root of 17 or about 4.1
200
Find the midpoint of a line segment with endpoints (0, 13) and (6, 7)
(3, 10)
300
Write the formula:
16, 11, 6, 1, ...
an = an-1 - 5
a0 = 16
300
4x + 2x - 6 = 17 + 3x
6x - 6 = 17 + 3x
What was used here?
Combining like terms
300
Name THREE collinear points
I, G, J or D, G, F
300
Find x
x = 11
300
Find the distance between the points.
square root of 20 or about 4.5
300
Find the midpoint of a line segment with endpoints (10, -2) and (-4, 8)
(3, 3)
400
Write the formula: 5, 20, 80, 320, ...
an = 4an-1
a0 = 5
400
4(2x - 5) + 10 = 3x - 11
8x - 20 + 10 = 3x - 11
What property was used here?
Distribution
400
Give another name for plane T. Your answer should be 3 letters.
Any combination of E, A, B, C is correct, as long as E is included.
400
Given that the entire segment is 40.9, solve for x.
x = 6.7
400
Find the distance between (6, -7) and (6, 7)
14
400
If a segment has an endpoint at (-2, 5) and a midpoint at (2, 6), find the other endpoint.
(6, 7)
500
Write the first 3 terms:
an = -4an-1
a0 = 2
2, -8, 32
500
4x - 3 = 2x + 4
6x - 3 = 4
Describe why this is wrong
They needed to subtract the 2x, not add it.
500
What is the intersection of planes T and L? Your answer should be two letters.
Any two-letter combination of A, B, C is correct. "Line n" is also correct.
500
Given that the entire segment is 394, find x.
x = 67
500
Find the distance between (-2, 5) and (6, 7)
square root of 68 or about 8.2
500
A line segment has an endpoint at (-10, 1) and a midpoint at (-8, -3). Find the other endpoint.
(-6, -7).